Dean Howell netted Fleetwood's first ever Football League goal to seal victory over Burton.
Burton had the better first half but Jacques Maghoma saw two efforts flash across goal, while Billy Kee and Justin Richards had their shots saved by goalkeeper Scott Davies.
Howell struck direct from a free-kick two minutes after the restart.
Burton searched for a breakthrough but Maghoma was denied again by Davies, while substitute Adi Yussuf fired wide.
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